Regularity conditions in vector optimization

Journal of Optimization Theory and Applications

Volumn 102, Issue 1, 1999, Pages 83-96

  Bigi, G ^a   Pappalardo, M ^a  

^a UNIVERSITY OF PISA   (Italy)

Author keywords

Generalized Mangasarian Fromovitz conditions; Image space; Pareto minimum; Regularity conditions; Total regularity conditions

Indexed keywords

CONES; VECTOR SPACES;

CONDITION; CONVEX CONE; GENERALIZED MANGASARIAN-FROMOVITZ CONDITION; IMAGE SPACE; LINEAR SEPARATION; PARETO MINIMUM; REGULARITY CONDITION; TOTAL REGULARITY CONDITION; VECTOR OPTIMIZATIONS;

MULTIOBJECTIVE OPTIMIZATION;

EID: 0033246164     PISSN: 00223239     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1021890328184     Document Type: Article

References (11)

1. BIGI, G., and PAPPALARDO, M., Regularity Conditions for the Linear Separation of Sets, Journal of Optimization Theory and Applications, Vol. 99, pp. 533-540, 1998.
2. GIANNESSI, F., Theorems of the Alternative and Optimality Conditions, Journal of Optimization Theory and Applications, Vol. 42, pp. 331-365, 1984.
3. CRAVEN, B. D., Nonsmooth Multiobjective Programming, Numerical Functional Analysis and Optimization, Vol. 10, pp. 49-64, 1989.
4. SINGH, C., Optimality Conditions in Multiobjective Differentiable Programming, Journal of Optimization Theory and Applications, Vol. 53, pp. 115-123, 1987.
5. MAEDA, T., Constraint Qualifications in Multiobjective Optimization Problems: Differentiable Case, Journal of Optimization Theory and Applications, Vol. 80, pp. 483-500, 1994.
6. LUC, D. T., Theory of Vector Optimization, Springer, Berlin, Germany, 1989.
7. JAHN, J., Mathematical Vector Optimization in Partially-Ordered Linear Spaces, Peter Lang, Frankfurt, Germany, 1986.
8. SAWARAGI, Y., NAKAYAMA, H., and TANINO, T., Theory of Multiobjective Optimization, Academic Press, Orlando, Florida, 1985.
9. CASTELLANI, M., MASTROENI, G., and PAPPALARDO, M., On Regularity for Generalized Systems and Applications, Nonlinear Optimization and Applications, Edited by G. Di Pillo and F. Giannessi, Plenum Press, New York, New York, pp. 13-26, 1996.
10. CASTELLANI, M., MASTROENI, G., and PAPPALARDO, M., Separation of Sets, Lagrange Multipliers, and Totally Regular Extremum Problems, Journal of Optimization Theory and Applications, Vol. 92, pp. 249-261, 1997.
11. MANGASARIAN, O. L., and FROMOVITZ, S., The Fritz John Necessary Optimality Conditions in Presence of Equality and Inequality Constraints, Journal of Mathematical Analysis and Applications, Vol. 17, pp. 37-47, 1967.